| 封堵物水中运动过程的数学模型研究 |
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| 引用本文： | 刘爱莲,姜鸿,王磊,田彦涛,隋振,刘丽梅.封堵物水中运动过程的数学模型研究[J].数学的实践与认识,2011,41(14). |
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| 作者姓名： | 刘爱莲 姜鸿 王磊 田彦涛 隋振 刘丽梅 |
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| 作者单位： | 吉林大学通信工程学院,吉林长春,130025 |
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| 摘 要： | 投放块石封堵物是溃口抢险的一项重要技术,研究的问题就是对封堵物水中运动过程进行运动系统辨识.利用牛顿运动定律和流体力学知识确定封堵物水中运动过程的模型结构,利用最小二乘原理进行模型参数估计,最终确定大实心方砖在水中的运动模型.通过MATLAB仿真求得不同试验条件下雷诺数与阻力系数间的关系,得到阻力系数试验曲线.最后,验证了所建模型和阻力系数试验曲线的合理性,并利用重力相似准则将所得结论应用于实际溃口封堵问题.
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| 关 键 词： | 块石封堵物 运动系统辨识 阻力系数试验曲线 小型试验 相似准则 |
Mathematical Model of Sealing Material in Water |
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| LIUAi-lian,JIANG Hong,WANG Lei,TIANYan-tao,SUI Zhen,LIU Li-mei.Mathematical Model of Sealing Material in Water[J].Mathematics in Practice and Theory,2011,41(14). |
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| Authors: | LIUAi-lian JIANG Hong WANG Lei TIANYan-tao SUI Zhen LIU Li-mei |
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| Institution: | LIU Ai-lian,JIANG Hong,WANG Lei,TIAN Yan-tao,SUI Zhen,LIU Li-mei (College of Communications Engineering,Jilin University,Changchun 130025,China) |
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| Abstract: | Plugging stones is an important technical of closuring dam-breach,and this research is to identify the motion system of plugging stone in water.It defines the model structure according to Newton's laws of motion and fluid mechanics,estimates the model parameters utilizing least square principle,then determines the model of big solid cubes. We obtain the relationship between Reynolds number and resistance coefficient,as well as the experimental curve of resistance coefficient by MATLAB.We test the system mod... |
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| Keywords: | plugging stone motion system identification experimental curve of resistance coefficient small-scale experiment similarity criterion |
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